Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4616511 | Journal of Mathematical Analysis and Applications | 2013 | 16 Pages |
Abstract
Let Ï:RnÃ[0,â)â[0,â) be such that Ï(x,â
) is an Orlicz function and Ï(â
,t) is a Muckenhoupt Aâ(Rn) weight uniformly in t. In this article, the authors introduce the Musielak-Orlicz Campanato space LÏ,q,s(Rn); as an application, the authors prove that some of them is the dual space of the Musielak-Orlicz Hardy space HÏ(Rn), which, in the case when q=1 and s=0, was obtained by L.D. Ky [ arXiv:1105.0486]. The authors also establish a John-Nirenberg inequality for functions in LÏ,1,s(Rn) and, as an application, the authors also obtain several equivalent characterizations of LÏ,q,s(Rn), which, in return, further induce the Ï-Carleson measure characterization of LÏ,1,s(Rn).
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Yiyu Liang, Dachun Yang,